Birth: July-September 1872 Boldre, Hampshire, UK
Father: John Croucher 1842-1904
Mother: Letitia Crouch 1849-1905
Christening: Unknown
Marriage: April-June 1897 Bury St Edmunds, Suffolk, UK,
Wife: Ada Mary (Marion) Kerry 1875-a1901
Death: After 1901
Florrie Croucher 1900-a1901
Birth of Arthur Croucher in FreeBMD in July-September 1872 in Lymington (2b 588) which included Boldre.
In the 1881 census as Arthur Croucher aged 8, born in Boldre, Hampshire and living with his parents (John and Letitia) and his brother (Frederick) at Pilley Bailey, Boldre, Hampshire.
In the 1891 census as Arthur Croucher aged 18, born in Boldre, Hampshire, single, a telegraph lad and living with his parents (John and Letesha) in three rooms at 5 Woodside Cottages, Muswell Hill Road, Hornsey, Middlesex (this address was shared with another family).
Marriage of Arthur Croucher and Ada Marion Kerry in FreeBMD in April-June 1897 in Bury St Edmunds (4a 1319).
In the 1901 census as Arthur Croucher aged 28, born in Boldre, Hertfordshire (sic - in the index, Hants on the original which has been confused with Herts), a signalman (GNR) and living with his wife (Ada Marion) and daughter (Florrie) in three rooms at 20th? Mile Cottages, Hatfield, Hertfordshire.
There is an entry in Ancestry Public Member Trees for Arthur Croucher born about 1872 in Boldre, parents John and Letitia Croucher and another for giving the birth in about 1873. Philip McCauley has an entry which adds his marriage to Ada Marion Kerry in Bury St Edmunds, Suffolk in 1897 and his daughter Florrie.
I cannot find any later information. Note that a Florence Croucher was born in Hatfield in 1901, parents Arthur E and Eleanor Croucher and it is not this family that is in the 1911 census.